Almost Exact Computation of Eigenvalues in Approximate Differential Problems

• Tipo: Artigo em Revista Científica Internacional
• Data: 2019

Autores

Matos, JMA (Autor) Outra; Maria Joao Rodrigues (Autor) FCUP

Revista

Título: Mathematical and Computational Applications

Vol. 24 Nº 4

Página Final: 96

ISSN: 1300-686X

Editora: Celal Bayar Universitesi

Indexação

ISI Web of Knowledge - 2 Citações

Outras Informações

ID Authenticus: P-00R-9AD

DOI: 10.3390/mca24040096

Abstract (EN): Differential eigenvalue problems arise in many fields of Mathematics and Physics, often arriving, as auxiliary problems, when solving partial differential equations. In this work, we present a method for eigenvalues computation following the Tau method philosophy and using Tau Toolbox tools. This Matlab toolbox was recently presented and here we explore its potential use and suitability for this problem. The first step is to translate the eigenvalue differential problem into an algebraic approximated eigenvalues problem. In a second step, making use of symbolic computations, we arrive at the exact polynomial expression of the determinant of the algebraic problem matrix, allowing us to get high accuracy approximations of differential eigenvalues.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 12